Single index models are natural extensions of linear models and overcome the so-called curse of dimensionality. They have applications to many fields, such as medicine, economics and finance. However, most existing methods based on least squares or likelihood are sensitive when there are...

A novel and robust method is proposed by combining the idea of the modal regression estimation (Yao et al., 2012) and spline based shrinkage estimation method (Lian, 2012). The newly proposed method can simultaneously estimate and separate constant coefficients from varying coefficients and its...

In this paper, we consider how to yield a robust empirical likelihood estimation for regression models. After introducing modal regression, we propose a novel empirical likelihood method based on modal regression estimation equations, which has the merits of both robustness and high inference...